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SUMMARY:Compass Special Lecture: Jonty Rougier
DTSTART:20210413T083000Z
DTEND:20210413T130000Z
DTSTAMP:20210330T142854Z
LAST-MODIFIED:20210330T153130Z
SEQUENCE:0
LOCATION:Online
DESCRIPTION:\nStochastic dominance and Wilcoxon's Two Sample Test\nUsually\, when a client wants to know whether a new treatment or process is better than the current one\, they are asking about stochastic dominance. In the first session I will define stochastic dominance\, and state and prove the Coupling Theorem\, which is the key representation theorem. I will go on to define a significance procedure (the grown-up definition)\, and an unbiased significance procedure\, and explain how we can use stochastic dominance to choose unbiased significance procedures.\n\nIn the second session I will introduce Wilcoxon's Two Sample Test for the equality of two distributions. The key result (not well-known) is that the associated significance procedure is unbiased for the alternative hypothesis that one distribution stochastically dominates the other. I will work through an application about donkeys\, also showing my preferred client-friendly visualisation. I will outline generalisations from one- to two-tailed tests\, and for more than two distributions.\n\nNote that this Compass Special Lecture will be delivered over two sessions:\n09:30-09:40 Introduction\n09:40-10:20 Stochastic Dominance\n10:20-10:30 Q&A\n-- break --\n12:30-13:10 Wilcoxon's two-sample test\n13:10-13:30 Q&A
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